According to the labels on the diagram it is for controlling LEDs, so it isn't going to replace your throttle.
You'd need something that produces a variable resistance to directly replace your throttle, as that's what it does. I don't know of a wireless device that does this, but you could make one using an arduino or other MCU (or regular discrete electronics) to control what is known as a voltage-controlled-resistor (maxim makes a few kinds).
If instead your controller is designed to accept a voltage range on it's throttle input, it should say what that range is on it's label. If not, you'd have to experimentally determine what hte range is, using a voltmeter set to DC Volts on the throttle wires and noting down what you see at the point where hte motor is spinning at full speed (off ground), and at the point where it just stops spinning as you turn throttle back down very slowly.
Once you know what voltage range that is, you can then look for devices that output that voltage range, or can be adjusted to do so.
Personally I would find it difficult to hold onto and operate a wireless remote while trying to ride a scooter, and would rather use a regular throttle mounted on the grip of one type or another. There are trigger style, thumb style, grip style, half-grip, etc. The trigger style is often used for scooters; probably because of the height of the grips and the angle of controls that causes to the hands.
So, depending on what you're trying to do, there might be better options out there.